You need to do a lot of reading of the basics regarding AirBnB - reservations; enquiries vs requests, payment and cancellations in particular.
If you have a confirmed reservation it will be blocked out in your calendar with your guest's name. In addition, if you go to Your Reservations, you should see the booking with 'Accepted' beside their name.
Both of these mean you have a confirmed and paid for booking. AirBnB will transfer payment to you approx 24 hours after the guest checks in. How long the payment takes to reach you depends on your pay out choice. Paypal tends to be immediate and with no charges, banks can take longer and depending on your bank, etc there may be additional charges.